0.3(x+20)-0.02(x-10)=-2.2

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Solution for 0.3(x+20)-0.02(x-10)=-2.2 equation: 


Simplifying
0.3(x + 20) + -0.02(x + -10) = -2.2

Reorder the terms:
0.3(20 + x) + -0.02(x + -10) = -2.2
(20 * 0.3 + x * 0.3) + -0.02(x + -10) = -2.2
(6 + 0.3x) + -0.02(x + -10) = -2.2

Reorder the terms:
6 + 0.3x + -0.02(-10 + x) = -2.2
6 + 0.3x + (-10 * -0.02 + x * -0.02) = -2.2
6 + 0.3x + (0.2 + -0.02x) = -2.2

Reorder the terms:
6 + 0.2 + 0.3x + -0.02x = -2.2

Combine like terms: 6 + 0.2 = 6.2
6.2 + 0.3x + -0.02x = -2.2

Combine like terms: 0.3x + -0.02x = 0.28x
6.2 + 0.28x = -2.2

Solving
6.2 + 0.28x = -2.2

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6.2' to each side of the equation.
6.2 + -6.2 + 0.28x = -2.2 + -6.2

Combine like terms: 6.2 + -6.2 = 0.0
0.0 + 0.28x = -2.2 + -6.2
0.28x = -2.2 + -6.2

Combine like terms: -2.2 + -6.2 = -8.4
0.28x = -8.4

Divide each side by '0.28'.
x = -30

Simplifying
x = -30

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